AN INTEGRAL APPROACH TO THE INVERSE ELECTROMAGNETIC SHAPING PROBLEM

被引：3
|
作者：
FUGATE, DW [1 ]
HOBURG, JF [1 ]
机构：
[1] CARNEGIE MELLON UNIV,DEPT ELECT & COMP ENGN,PITTSBURGH,PA 15213
来源：
IEEE TRANSACTIONS ON MAGNETICS | 1991年 / 27卷 / 06期
基金：
美国国家科学基金会; 美国安德鲁·梅隆基金会;
关键词：
D O I：
10.1109/20.278796
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
High frequency electromagnetic levitation and shaping of molten metals involves a coupling between the molten metal and electromagnetic fields. Modeling a stable molten metal and air interface supported by magnetic pressures requires a self-consistent solution. Considerable work has been done to date on solving for the equilibrium free boundary representing a molten metal and air interface shaped by predefined conductors carrying high frequency alternating currents. From an engineering standpoint, a more practical problem is one in which the desired equilibrium free boundary shape is specified and the alternating currents necessary to achieve this shape are then calculated. In this paper, an integral equation method is presented for solving the inverse shaping problem, where a desired free boundary is specified in addition to the location of a number of source currents. The method results in a matrix equation which is solved for the source current magnitudes necessary to achieve the desired free boundary geometry. The method is tested using a previously developed free boundary solution procedure.
引用
收藏
页码：5229 / 5231
页数：3
相关论文
共 50 条
  • [1] The inverse electromagnetic shaping problem
    Canelas, Alfredo
    Roche, Jean R.
    Herskovits, Jose
    STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2009, 38 (04) : 389 - 403
  • [2] The inverse electromagnetic shaping problem
    Alfredo Canelas
    Jean R. Roche
    José Herskovits
    Structural and Multidisciplinary Optimization, 2009, 38 : 389 - 403
  • [3] A variational approach to an electromagnetic inverse problem
    Brown, B. M.
    Jais, M.
    INVERSE PROBLEMS, 2011, 27 (04)
  • [4] THE INVERSE SHAPING PROBLEM
    FELICI, TP
    BRANCHER, JP
    EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 1991, 10 (05) : 501 - 512
  • [5] A linear integral equation approach to the Robin inverse problem
    Lin, FR
    Fang, WF
    INVERSE PROBLEMS, 2005, 21 (05) : 1757 - 1772
  • [6] A Sparsity Regularization Approach to the Electromagnetic Inverse Scattering Problem
    Winters, David W.
    Van Veen, Barry D.
    Hagness, Susan C.
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2010, 58 (01) : 145 - 154
  • [7] A tridimensional inverse shaping problem
    Pierre, M
    Rouy, E
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1996, 21 (7-8) : 1279 - 1305
  • [8] A Learned-SVD Approach to the Electromagnetic Inverse Source Problem
    Capozzoli, Amedeo
    Catapano, Ilaria
    Cinotti, Eliana
    Curcio, Claudio
    Esposito, Giuseppe
    Gennarelli, Gianluca
    Liseno, Angelo
    Ludeno, Giovanni
    Soldovieri, Francesco
    SENSORS, 2024, 24 (14)
  • [9] An integral equation approach for 2.5-dimensional forward and inverse electromagnetic scattering
    Abubakar, A
    van den Berg, PM
    Habashy, TM
    GEOPHYSICAL JOURNAL INTERNATIONAL, 2006, 165 (03) : 744 - 762
  • [10] ON ELECTROMAGNETIC INVERSE SCATTERING PROBLEM
    WESTON, VH
    BOWMAN, JJ
    AR, E
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1968, 31 (03) : 199 - &
12345